Factorise
(i) `2x^(3)-3x^(2)-17x+30` (ii) `x^(3) -6x^(2)+11x-6`
(iii) `x^(3)+x^(2)-4x-4` (iv) `3x^(2)-x^(2)-3x+1`

Explanation

Let's factorize the given polynomials step by step.

### (i) Factorize \( 2x^3 - 3x^2 - 17x + 30 \)

1. **Identify the polynomial**: The polynomial is \( 2x^3 - 3x^2 - 17x + 30 \).
2. **Find the factors of the constant term (30)**: The factors of 30 are \( \pm 1, \pm 2, \pm 3, \pm 5, \pm 6, \pm 10, \pm 15, \pm 30 \).
3. **Use the Rational Root Theorem**: Test the factors to find a root. Testing \( x = 2 \):
\[
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